Include criteria (credit score minimum etc) in listing?

[Ben S.]

I'll be renting my first home soon and have been reading up on all the criteria for selecting a good tenant. Can I or should I include some or all that on the listing to cut down on people contacting me who don't meet the standards anyway? It'll be 650+ credit score, income 3x rent, no evictions past 7 years, etc. It doesn't look like people usually have that in their listing. 

Thanks